Strain-induced spin vortex and Majorana Kramers pairs in doped topological insulators with nematic superconductivity

Abstract

Using the Ginzburg-Landau approach, we show that the strain of the nematic superconductor can generate a specific (nematic) vorticity. In the case of doped topological insulators that vorticity forms a spin vortex. We find two types of topologically different spin vortices that either enhance (type I) or suppress (type II) superconductivity far from the vortex core. We apply Bogoliubov–de Gennes equations to study electronic states in the nematic superconductor with spin vortices. We find that in the case of the type I vortex, zero-energy states are localized near the vortex core. These states can be identified as Majorana Kramers pairs. In the case of the type II vortex, there are no localized zero-energy states. Thus, we establish a nontrivial connection between the strain and Majorana fermions in the doped topological insulators with nematic superconductivity.

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